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The interaction of competing agents is described by classical game theory. It is now well known that this can be extended to the quantum domain, where agents obey the rules of quantum mechanics. This is of emerging interest for exploring…

量子物理 · 物理学 2018-08-30 Azhar Iqbal , James M. Chappell , Derek Abbott

In a two-stage repeated classical game of prisoners' dilemma the knowledge that both players will defect in the second stage makes the players to defect in the first stage as well. We find a quantum version of this repeated game where the…

量子物理 · 物理学 2015-06-26 A. Iqbal , A. H. Toor

This work, based on the author's MA thesis, concentrates on simultaneous move quantum games of two players. A numerical algorithm based on the method of best response functions, designed to search for pure strategy Nash equilibrium in…

量子物理 · 物理学 2013-06-07 Y. Avishai

Quantum state targeting is a quantum game which results from combining traditional quantum state estimation with additional classical information. We consider a particular version of the game and show how it can be played with maximally…

量子物理 · 物理学 2009-11-10 H. Bechmann-Pasquinucci

One of the basics tasks in computer systems is the control of access of resources. Basically, there is a finite amount of resources that can be, for example, the CPU, memory or I/O ports, and several processes requiring those resources. If…

量子物理 · 物理学 2008-02-26 Paulo Benicio , Melo de Sousa , Rubens Viana Ramos

We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The present paper is devoted to quantum bargaining games which are a…

量子物理 · 物理学 2009-11-07 E. W. Piotrowski , J. Sladkowski

A working definition of the term \quantum game" is developed in an attempt to gain insights into aspects of quantum mechanics via game theory.

量子物理 · 物理学 2011-06-16 Faisal Shah Khan , Simon. J. D. Phoenix

Quantum games have attracted much attention in recent years due to their ability to solve decision-making dilemmas. The aim of this study is to extend previous work on quantum games by introducing a Mathematica package QEGS (Quantum…

量子物理 · 物理学 2025-05-05 Krzysztof Grzanka , Anna Gorczyca-Goraj , Piotr Frąckiewicz , Marek Szopa

We consider a class of games between two competing players that take turns acting on the same many-body quantum register. Each player can perform unitary operations on the register, and after each one of them acts on the register the energy…

量子物理 · 物理学 2024-08-19 Rebecca Erbanni , Antonios Varvitsiotis , Dario Poletti

We study the applicability of quantum algorithms in computational game theory and generalize some results related to Subtraction games, which are sometimes referred to as one-heap Nim games. In quantum game theory, a subset of Subtraction…

量子物理 · 物理学 2020-06-15 Dmitry Kravchenko , Kamil Khadiev , Danil Serov , Ruslan Kapralov

Quantum technologies, i.e., technologies benefiting from the features of quantum physics such as objective randomness, superposition, and entanglement, have enabled an entirely different way of distributing and processing information. The…

量子物理 · 物理学 2024-06-05 Lea Kopf , Markus Hiekkamäki , Shashi Prabhakar , Robert Fickler

We characterize exact, and approximate, optimality of games that players can interact with using quantum strategies. In comparison to a previous work of the author, arXiv: 2311.12887, which applied a 2016 framework due to Ostrev for…

量子物理 · 物理学 2025-06-27 Pete Rigas

We study bipartite correlations in Bell-type games. We show that in a setup where the information carriers are allowed to locally deform the manifold on which the game is played, stronger correlations may be obtained than those maximally…

量子物理 · 物理学 2024-01-03 David H. Oaknin , Amir Kalev , Itay Hen

A game in which one player makes unitary transformations of a simple system, and another seeks to confound the resulting state by a randomly chosen action is analyzed carefully. It is shown that the second player can reduce any system to a…

量子物理 · 物理学 2007-05-23 Paul B. Kantor

This paper initiates the study of a class of entangled games, mono-state games, denoted by $(G,\psi)$, where $G$ is a two-player one-round game and $\psi$ is a bipartite state independent of the game $G$. In the mono-state game $(G,\psi)$,…

量子物理 · 物理学 2019-09-17 Penghui Yao

The centipede game is a two-player non-zero-sum game. Each turn, a player can choose whether they want to take or pass a growing reward. The classical, rational solution of this game shows defection in the first round, when in reality,…

量子物理 · 物理学 2025-11-27 Kaytki Chakankar , Xinhui Tang , Yiguo Zhang

Parrondo games are coin flipping games with the surprising property that alternating plays of two losing games can produce a winning game. We show that this phenomenon can be modelled by probabilistic lattice gas automata. Furthermore,…

量子物理 · 物理学 2007-05-23 David A. Meyer , Heather Blumer

We present a consistent formulation of quantum game theory that accommodates all possible strategies in Hilbert space. The physical content of the quantum strategy is revealed as a family of classical games representing altruistic game play…

量子物理 · 物理学 2009-11-13 Taksu Cheon

Quantum pseudo-telepathy is an intriguing phenomenon which results from the application of quantum information theory to communication complexity. To demonstrate this phenomenon researchers in the field of quantum communication complexity…

量子物理 · 物理学 2009-07-29 Anya Tafliovich , Eric C. R. Hehner

Quantization becomes a new way to study classical game theory since quantum strategies and quantum games have been proposed. In previous studies, many typical game models, such as prisoner's dilemma, battle of the sexes, Hawk-Dove game,…

计算机科学与博弈论 · 计算机科学 2016-08-03 Xinyang Deng , Yong Deng , Qi Liu , Zhen Wang